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Simplifying 23 + -7z = 9 + -6z Solving 23 + -7z = 9 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 23 + -7z + 6z = 9 + -6z + 6z Combine like terms: -7z + 6z = -1z 23 + -1z = 9 + -6z + 6z Combine like terms: -6z + 6z = 0 23 + -1z = 9 + 0 23 + -1z = 9 Add '-23' to each side of the equation. 23 + -23 + -1z = 9 + -23 Combine like terms: 23 + -23 = 0 0 + -1z = 9 + -23 -1z = 9 + -23 Combine like terms: 9 + -23 = -14 -1z = -14 Divide each side by '-1'. z = 14 Simplifying z = 14
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